Evaluate the indefinite integral. (Use C for the constant of integration.) dt | cos?(t) V4 + tan(t) 8

Q: Q4) Solve the integral by Simpson's rule x3 cos2x dx, h 0.2

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Q: In the given equation , select the basic integration formula you can use to find the indefinite…

A: ∫31-t2 dt

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A: Use: ∫eaxdx=eaxa+c

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Q: 1 Find the indefinite integral || e* + dx 1+x?

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Q: valuate the indefinite integral. 7 dt (t + 1)?

A: Given query is to eveluate the integral.

Q: Q2. Use integration by parts method to evaluate the following integrals. 1. dx 2. S cos x? dx -dx 2…

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Q: In approximation of f(x)dx by Romberg Integration, if R1=0.25 and R21 =0.2525, then R22 =

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Q: Q4: Solve the following integrals:- dx 4dx (1) f 2+cos x (2) J sec xesin x (3) Sx sec? x dx dx (4) )…

A: Indefinite Integration

Q: Solve the integral equation F(x) cos px dx =. [1-p,0sp 1.

A: Since you have asked multiple questions, we will answer the first question. If you need answer for…

Q: valuate the integral. (Use C for the constant of integration.) dx 3/2 (ax)² – b2]

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Q: * = cos(x + y), when x = 0,y = %3D dx

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Q: Q16: Find the indefinite integral: (e' + tº) dt

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Q: 6) Use the successive approximations method to solve the following Volterra integral equation: u (x…

A: The Volterra integral equation is given as u(x)=x22-∫0x(x-t)u(t) dt. We have to solve the equation…

Q: 5x+6 Consider the indefinite integral e+0 dx:

A: given equation= e5x+6

Q: Evaluate the integral. (Use C for the constant of integration.)   te−4t dt

A: Given data:     The given integral is: .   The integration of the expression can be solved by parts.…

Q: (4) Using Convolution, Solve the Volterra Integral Equation: y(x) = 1 – e-" + y(x – t) sin a dt

A: Given Volterra Integral equation: y(x)=1-e-x+∫0xy(x-t)sinxdt Using convolution it can be written as…

Q: Find the indefinite integral.

A: ∫ exex+12dxSubstitute u =ex+1=∫ u2duApply the Power Rule:  ∫xadx=xa+1a+1,    a≠-1=u2+12+1Substitute…

Q: dy dx 1+x

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Q: Q1: Evaluate the following Integration: a) ( In(x²+x)-Inx-en3 dx b) S; sinx Ine(x+1) 1-cos²x

A: Answer (a): To evaluate this integral, apply the logarithmic properties : And, And, And, And,…

Q: 8. Find the value of the constant C for which the integral 11x 11C dx x* + 1 4x + 1 converges. C =…

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Q: Integrate the following differential and determine the constant of integration: dy/dx = 8/x which…

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Q: Q4: Solve the following integrals:- dx (1) ſ; 4dx (2) S; (3) ſ x sec² x dx 2+cos x sec xesin x

A: Since you have posted multiple subparts question in this question so i have solved first three parts…

Q: d'N Solve t? dN -21- -+2N t Int di? dt

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Q: (d) (x² + 1)² dx (e) L dx (x² + 1)² (f) eir dx

A: d. Given

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Q: x In y ln x dy + dx = 0, when x = e, y = 1

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Q: dz

A: Here I am attaching image so that you understand each and every step.

Q: Which of the following can be evaluated directly by the Power Formula of Integration x² dx (x3 +x +…

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Q: Q1) A: Solve the differential equation: x- y = x.cos? ? dx B: Evaluate the following integral by…

A: Follow next step

Q: x² – 25 dx Jx+5

A: Formula: a2-b2= (a+b)(a-b)

Q: Q4: Find the integration for the following functions: - (answer three only) sin(lnx) dx 3-…

A: Thanks for the question :)And your upvote will be really appreciable ;)

Q: The value of n when integrating the following function using Simpson's method is: [2²/ dx h = 0.2 >

A: solution is given below

Q: 1 dx x² +1 e +

A: solution:-∫02ex+1x2+1dx=∫02exdx+∫021x2+1dx=ex02+tan-1x02=e2-e0+tan-12-tan-10=e2-1+tan-12     Ans

Q: Combining these results and including the constant of integration, C, we finally have the following…

A: The given result is

Q: 27. For what value or values of a does ах |dx 2x x² + 1 converge? Evaluate the corresponding…

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Q: 37. What is the value of the given integral? dt |(-log,t) o VIT • None of these o -VT 2

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Q: Solve the integral equation f(x) cos Ax dx = e. %3D

A: Given integral is, ∫0∞fxcosλxdx=e-λ The right-hand side is a Fourier cosine transformation function…

Q: In each part, confirm that the formula is correct, and state a corresponding integration formula.…

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Q: Solve the integral equation F(x) cos px dx: [1-p, 0sps1 0, p > 1.

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Q: 10. Find the indefinite integral. Te cos 3t dt dv u = du = v =

A: Given integration is : ∫e9tcos3t dt   To find the value of integration.

Q: (a) Solve the following integrals. (i) (ii) x' + 3x? – 10 - dx x(x – 3)(x+1) Integrate er* cos (3x)…

A: “Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: (d) L™ x³ cos(x* + 5) dx. (e) f(2x – 1)³ dx . -

A: For the given integral  ∫0π4x3cos(x4+π2) dx

Q: Q2 Find the integral for the following : dx 1-S 2Vx+2x 2- Se-*sec² (ne¯*)dx 3- S dx 1+e*

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Q: dy y(y²+1)

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Q: 6. Find an approximate solution of the integral equation g(s) = (sinh s) + "g(1) dt, %3D

A: In the given question we have find the aproximate soution of the given integral equation…

Q: dx 1. S (2-3x)2 2. S V2x + 1 dx

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Q: dy = 3x dx

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Q: Q3. Find the value of the following integration using Simpson method of integration: dx ; n=6

A: As per the policy of bartleby the provisions is to solve only one question now I am solving question…